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Finding the Fourth Proportional to 4,509.12, 6,712.80 and 4,447.56

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Solution

The fourth proportional to 4,509.12, 6,712.80 and 4,447.56 is: 6,621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.12 : 6,712.80 = 4,447.56 : x
  2. Step 2: Convert to fraction form
    4,509.12/6,712.80 = 4,447.56/x
  3. Step 3: Cross multiply
    4,509.12x = 6,712.80 × 4,447.56
  4. Step 4: Simplify right side
    4,509.12x = 29,855,580.77
  5. Step 5: Solve for x
    x = 29,855,580.77/4,509.12
  6. Step 6: Final answer
    x = 6,621.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.